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Finding the Fourth Proportional to 321,472.56, 481,262.90 and 214,591.42

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Solution

The fourth proportional to 321,472.56, 481,262.90 and 214,591.42 is: 321,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,472.56 : 481,262.90 = 214,591.42 : x
  2. Step 2: Convert to fraction form
    321,472.56/481,262.90 = 214,591.42/x
  3. Step 3: Cross multiply
    321,472.56x = 481,262.90 × 214,591.42
  4. Step 4: Simplify right side
    321,472.56x = 103,274,889,104.32
  5. Step 5: Solve for x
    x = 103,274,889,104.32/321,472.56
  6. Step 6: Final answer
    x = 321,255.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.